Universal Journal of Physics and Application Vol. 3(3), pp. 169 - 180
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SURPRISES OF QUANTUM WAVE MOTION THROUGH POTENTIALS

AUTHOR(S) INFORMATION: Chabanov V.M. and Zakhariev B.N.

ABSTRACT

We have found that transparent potentials V (x) divided at arbitrary point x' in right-left parts V_r(x < x') = 0, V_l(x > x') = 0 have remarkable unexpected symmetry. There are continuous sets of equalities for penetrabilities of quite unequal separated V_r ≠ V_l. Generalization of these equalities to wide classes of transformed V_r, V_l potentials and even arbitrary initial potentials V (x) are given. Such equalities serve us as instructive illustrations enriching our quantum intuition useful for quantum engineering, etc.